Open AccessCalculation of circular plates with assuming shear deformations
Author(s) -
Yury Tyukalov
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/687/3/033004
Subject(s) - finite element method , piecewise , shear (geology) , constant (computer programming) , mathematical analysis , geometry , mathematics , mixed finite element method , mechanics , structural engineering , materials science , physics , engineering , computer science , composite material , programming language
The problem of calculating circular plates by the finite element method taking into account shear deformations is considered. Transverse forces can be approximated by constant or piecewise constant functions. The necessary relations for triangular finite elements are obtained. It is shown that the proposed method can be used in combination with traditional finite elements for thin plates obtained by the finite element method in displacements. A comparison of the solutions obtained by the proposed method with other known solutions for circular plates regarding shear is given. It is shown that displacements from shear deformations are determined independently of displacements associated with bending. The obtained results demonstrate the convergence of the solution to the exact one when grinding the finite element mesh and good accuracy for considering shear deformations.